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Finding the Fourth Proportional to 5,503.22, 8,211.98 and 5,289.98

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Solution

The fourth proportional to 5,503.22, 8,211.98 and 5,289.98 is: 7,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.22 : 8,211.98 = 5,289.98 : x
  2. Step 2: Convert to fraction form
    5,503.22/8,211.98 = 5,289.98/x
  3. Step 3: Cross multiply
    5,503.22x = 8,211.98 × 5,289.98
  4. Step 4: Simplify right side
    5,503.22x = 43,441,209.96
  5. Step 5: Solve for x
    x = 43,441,209.96/5,503.22
  6. Step 6: Final answer
    x = 7,893.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.